The number 30672
30672 is a composite number with 40 divisors. Its prime factorisation is × × 71. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 71 … 30672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30672: a Harshad number: divisible by its digit sum 18.
- 2
30672 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 30672 itself that is 58608, so 30672 is abundant (58608 is more than 30672). Euler's totient φ(30672) = 10080 numbers up to 30672 share no factor with it.
- 4
The digits of 30672 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30672 = 2^{4} \times 3^{3} \times 71 \]30672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 10080 |
| Square | 940771584 |
| Cube | 28855346024448 |
| Square root | 175.134234 (= 12√213) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.0672 × |
30672 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand six hundred and seventy-two |
| Binary (base 2) | 111011111010000 |
| Octal (base 8) | 73720 |
| Hexadecimal (base 16) | 77D0 |
| Base 3 | 1120002000 |
| As time | 30672 seconds = 8 h 31 min 12 s |
Is 30672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30672 ÷ 2 = 15336) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (30672 ÷ 3 = 10224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (30672 ÷ 4 = 7668) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (30672 ÷ 6 = 5112) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | Yes (30672 ÷ 8 = 3834) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (30672 ÷ 9 = 3408) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (30672 ÷ 12 = 2556) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 30672 a prime number?
No. 30672 = × × 71, so it is divisible by 2.
What are the factors of 30672?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 71, 72, 108, 142, 144, 213, 216, 284, 426, 432, 568, 639, 852, 1136, 1278, 1704, 1917, 2556, 3408, 3834, 5112, 7668, 10224, 15336, 30672.
What is 30672 in binary?
111011111010000 (hexadecimal 77D0, octal 73720).
What is the square root of 30672?
About 175.1342, exactly 12√213.
Is 30672 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 30672?
30672 is a Harshad number: divisible by its digit sum 18.